The captain of the Elephants could not make it to the list of 28 players called-up for the qualifying game against Gambia on Saturday
Drogba was part of the Galatasaray team that have made it to the last eight of the Champions League after eliminating Schalke 4-3 on aggregate.
A list of 28 players comprising four goalkeepers, seven defenders, nine midfielders and eight strikers released by coach Sabri Lamouchi did not bear the name of Drogba.
The coach of the Elephants will hold a press briefing on Monday to give reason as to why certain players were chosen ahead of others.
Cote d'Ivoire currently lead Group C with four points from two games.
The full squad:
Goalkeepers: Barry Boubacar, Gbohouo Sylvain, Sangare Badra, Cisse Abdoul Karim
Defenders: Bamba Souleiman, Boka Arthur, Brou Benjamin, Akpa Akpro, Zokora Didier, Toure Kolo, Ismael Traore
Midfielders: Abdul Razack, Karaboue Losseni, Gradel Max, Tiote Cheick, Toure Yaya, Sio Giovanni, Kone Kouamatien, Konan Didier, Serey Geoffroy
Strikers: Doumbia Seydou, Zougoula Koelly, Salomon Kalou, Kone Arouna, Traore Lacina, Gohou Gerard, Bony Wilfried, Kouassi Gervais